如图,四棱锥P﹣ABCD的底面是边长为
的菱形,∠BCD=120°,PC⊥平面ABCD,PC=
,E为PA的中点,O为底面对角线的交点;
![](https://img.xkw.com/dksih/QBM/2011/4/2/1570103484932096/1570103490142208/STEM/ac6544d6196141cf81de7fe54081fe69.png?resizew=215)
(1)求证:平面EDB⊥平面ABCD;
(2)求二面角
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://img.xkw.com/dksih/QBM/2011/4/2/1570103484932096/1570103490142208/STEM/ac6544d6196141cf81de7fe54081fe69.png?resizew=215)
(1)求证:平面EDB⊥平面ABCD;
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af818319be607187e4c0ee637e9e024a.png)
10-11高二下·四川成都·阶段练习 查看更多[1]
(已下线)2010-2011年四川省成都市树德协进中学高二3月月考数学试卷
更新时间:2016-11-30 17:26:38
|
相似题推荐
填空题-单空题
|
适中
(0.65)
解题方法
【推荐1】已知四面体ABCD中,AB,BC,BD两两垂直,
,AB与平面ACD所成角的正切值为
,则点B到平面ACD的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0758f1c2d88f6378b131b6ff7043eef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
解题方法
【推荐2】已知四棱锥
的底面是边长为2的正方形,
是以AD为斜边的等腰直角三角形,
平面PAD,E是线段PD上的动点(不含端点),若线段AB上存在点F(不含端点)、使得异面直线PA和EF所成的角的余弦值为
,则线段AF长的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/34cf9518-e048-41a0-80af-788db8d3b736.png?resizew=185)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
解题方法
【推荐1】正四面体
棱长为2,
平面
,垂足为O,设M为线段
上一点,且
则二面角
的余弦值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce03b310edce42191f9fa75a1c909ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c7294c325b4eb1155c4e033a1055a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd187d02ca8d7050774ef9683094e44.png)
![](https://img.xkw.com/dksih/QBM/2020/12/19/2617719192281088/2617797559566336/STEM/983b3aadb1644b7cae56cc5207e6babb.png?resizew=256)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
【推荐2】如图,矩形ABCD中,DC=
,AD=1,在DC上截取DE=1,将△ADE沿AE翻折到D1点,点D1在平面ABC上的射影落在AC上时,二面角D1—AE—B的平面角的余弦值是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/2011/10/14/1570315421556736/1570315426856960/STEM/9b3fb9637d3940d982b16ab128ad54ba.png?resizew=226)
您最近一年使用:0次